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Finding the Third Proportional to 1,520.44 and 2,050.95

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Solution

The third proportional to 1,520.44 and 2,050.95 is: 2,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.44 : 2,050.95 = 2,050.95 : x
  2. Step 2: Convert to fraction form
    1,520.44/2,050.95 = 2,050.95/x
  3. Step 3: Cross multiply
    1,520.44x = 2,050.95 × 2,050.95
  4. Step 4: Simplify right side
    1,520.44x = 4,206,376.67
  5. Step 5: Solve for x
    x = 4,206,376.67/1,520.44
  6. Step 6: Final answer
    x = 2,766.56

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.